One-third of a good is sold at a 15% profit, 25% of the goods are sold at a 20% profit and the rest at a 20% loss. If the total profit of 138.50 is earned on the whole transaction, then the value (in Rs.) of the good is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 8,310
Let the total units of good be 12
So, 4 units are sold at a profit of 15%, 3 units are sold at a profit of 20% and the rest i.e 5 units are sold at a loss of 20%.
Overall profit = (4 × 15 + 3 × 20 - 5 × 20) / 12
= 20/12 = 5/3% profit
Now, given that,
5/3% of x = 138.50
x = (138.50 × 300)/ 5
= 8310